Very long melusine

Very long melusine
x = 8, y = 4, rule = B3/S23 2o3bo$bo2bobo$bobo2bo$2bo3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 48 ]]
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Pattern type	Strict still life
Number of cells	12
Bounding box	8 × 4
Frequency class	35.6
Static symmetry	.k (C2_4)
Discovered by	Robert Wainwright Everett Boyer
Year of discovery	1973
Rules Outer-totalistic rules B/S23 – B35678/S012345678 # of rules 212 = 4096 Isotropic rules B/S2-i3r – B2-ae34-ajn5678/S012345678
Glider synthesis Fewest gliders 6 Catagolue-generated RLE synthesis
Pattern files Plaintext xs12_178421e8.cells RLE xs12_178421e8.rle
Identifiers apgcode xs12_178421e8 Niemiec ID 12.39 Pentadecathlon ID 12.28

Very long melusine or trans-very long fuse with two tails is a 12-cell still life.

Construction

This still life is known to be constructible with 6 gliders. Some known glider syntheses can be found in Mark Niemiec's database.

x = 43, y = 38, rule = B3/S23 bo$2bo$3o9$4bo$5b2o$4b2o12bo$16bobo$17b2o2$35b2o3bo$36bo2bobo$36bobo2b o$37bo3b2o2$19b2o$19bobo$19bo12b2o$31b2o$33bo9$35b3o$35bo$36bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 430 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 20 PAUSE 1 T 24 PAUSE 1 T 101 PAUSE 2 LOOP 102 ]] A 6G synthesis (click above to open LifeViewer)

x = 38, y = 25, rule = B3/S23 5bo$6bo$4b3o21bo$27bo$27b3o$3bo$4bo$2b3o2$30b2o3bo$31bo2bobo$31bobo2bo $32bo3b2o3$23b3o$b2o20bo$obo21bo$2bo2$28bo$27b2o$27bobo3bo$32b2o$32bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 12 PAUSE 1 T 27 PAUSE 1 T 28 PAUSE 1 T 29 PAUSE 1 T 57 PAUSE 1 T 58 PAUSE 2 LOOP 59 ]] A 7G synthesis (click above to open LifeViewer)

x = 45, y = 50, rule = B3/S23 obo$b2o$bo4$18bo$18bobo$18b2o3$30bo$29bo$29b3o7$24bo$23bo$23b3o7b2o3bo $34bo2bobo$34bobo2bo$35bo3b2o3$2bo$2b2o$bobo4$24bo$23b2o$23bobo5$40b2o $40bobo$40bo3$3o$2bo39b3o$bo40bo$43bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 540 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 20 PAUSE 1 T 48 PAUSE 1 T 80 PAUSE 2 LOOP 81 ]] A 9G synthesis (click above to open LifeViewer)

Occurrence

See also: List of common still lifes, List of still lifes with 12 cells

Among the 121 still lifes with 12 cells, this is the 7th rarest still life according to Catagolue.

There are no collisions in octohash, octo3obj or octo3g databases with this still life occurring in the ash.

Isomers

This still life is comprised of a normally unstable length-4 fuse with two normally unstable tails attached. This is one of two possible isomers, named trans due to the two tails being on opposite sides of the fuse; the other isomer, cis-fuse with two tails, has both tails on the same side.

Unlike the cis-version, which is of identical length (4 cells diagonally), the trans-very long fuse with two tails can be shrunk down to two smaller still lifes: the long fuse with two tails and fuse with two tails. Due to the trans version being the only one which can be shrunk, these two do not have cis-trans prefixes.

External links

• Very long melusine at Adam P. Goucher's Catagolue
• 12.28 at Heinrich Koenig's Game of Life Object Catalogs
• Melusine at Wikipedia (name origin)